What is the Greatest Common Factor of 60720 and 60725?

Greatest common factor (GCF) of 60720 and 60725 is 5.

GCF(60720,60725) = 5

We will now calculate the prime factors of 60720 and 60725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60720 and 60725.

How to find the GCF of 60720 and 60725?

We will first find the prime factorization of 60720 and 60725. After we will calculate the factors of 60720 and 60725 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 60725

Prime factors of 60725 are 5, 7, 347. Prime factorization of 60725 in exponential form is:

60725 = 5² × 7¹ × 347¹

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 60725

List of positive integer factors of 60725 that divides 60720 without a remainder.

1, 5, 7, 25, 35, 175, 347, 1735, 2429, 8675, 12145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60720 and 60725. The biggest common factor number is the GCF number.
So the greatest common factor 60720 and 60725 is 5.

Also check out the Least Common Multiple of 60720 and 60725