What is the Greatest Common Factor of 60700 and 60720?

Greatest common factor (GCF) of 60700 and 60720 is 20.

GCF(60700,60720) = 20

We will now calculate the prime factors of 60700 and 60720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60700 and 60720.

How to find the GCF of 60700 and 60720?

We will first find the prime factorization of 60700 and 60720. After we will calculate the factors of 60700 and 60720 and find the biggest common factor number .

Step-1: Prime Factorization of 60700

Prime factors of 60700 are 2, 5, 607. Prime factorization of 60700 in exponential form is:

60700 = 2² × 5² × 607¹

Step-2: 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-3: Factors of 60700

List of positive integer factors of 60700 that divides 60700 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 607, 1214, 2428, 3035, 6070, 12140, 15175, 30350

Step-4: Factors of 60720

List of positive integer factors of 60720 that divides 60700 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60700 and 60720. The biggest common factor number is the GCF number.
So the greatest common factor 60700 and 60720 is 20.

Also check out the Least Common Multiple of 60700 and 60720