What is the Greatest Common Factor of 60720 and 60732?

Greatest common factor (GCF) of 60720 and 60732 is 12.

GCF(60720,60732) = 12

We will now calculate the prime factors of 60720 and 60732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60720 and 60732.

How to find the GCF of 60720 and 60732?

We will first find the prime factorization of 60720 and 60732. After we will calculate the factors of 60720 and 60732 and find the biggest common factor number .

Step-1: Prime Factorization of 60720

Prime factors of 60720 are 2, 3, 5, 11, 23. Prime factorization of 60720 in exponential form is:

60720 = 2⁴ × 3¹ × 5¹ × 11¹ × 23¹

Step-2: Prime Factorization of 60732

Prime factors of 60732 are 2, 3, 7, 241. Prime factorization of 60732 in exponential form is:

60732 = 2² × 3² × 7¹ × 241¹

Step-3: Factors of 60720

List of positive integer factors of 60720 that divides 60720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 23, 24, 30, 33, 40, 44, 46, 48, 55, 60, 66, 69, 80, 88, 92, 110, 115, 120, 132, 138, 165, 176, 184, 220, 230, 240, 253, 264, 276, 330, 345, 368, 440, 460, 506, 528, 552, 660, 690, 759, 880, 920, 1012, 1104, 1265, 1320, 1380, 1518, 1840, 2024, 2530, 2640, 2760, 3036, 3795, 4048, 5060, 5520, 6072, 7590, 10120, 12144, 15180, 20240, 30360

Step-4: Factors of 60732

List of positive integer factors of 60732 that divides 60720 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 241, 252, 482, 723, 964, 1446, 1687, 2169, 2892, 3374, 4338, 5061, 6748, 8676, 10122, 15183, 20244, 30366

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60720 and 60732. The biggest common factor number is the GCF number.
So the greatest common factor 60720 and 60732 is 12.

Also check out the Least Common Multiple of 60720 and 60732