What is the Greatest Common Factor of 61700 and 61720?

Greatest common factor (GCF) of 61700 and 61720 is 20.

GCF(61700,61720) = 20

We will now calculate the prime factors of 61700 and 61720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61700 and 61720.

How to find the GCF of 61700 and 61720?

We will first find the prime factorization of 61700 and 61720. After we will calculate the factors of 61700 and 61720 and find the biggest common factor number .

Step-1: Prime Factorization of 61700

Prime factors of 61700 are 2, 5, 617. Prime factorization of 61700 in exponential form is:

61700 = 2² × 5² × 617¹

Step-2: Prime Factorization of 61720

Prime factors of 61720 are 2, 5, 1543. Prime factorization of 61720 in exponential form is:

61720 = 2³ × 5¹ × 1543¹

Step-3: Factors of 61700

List of positive integer factors of 61700 that divides 61700 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 617, 1234, 2468, 3085, 6170, 12340, 15425, 30850

Step-4: Factors of 61720

List of positive integer factors of 61720 that divides 61700 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1543, 3086, 6172, 7715, 12344, 15430, 30860

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61700 and 61720. The biggest common factor number is the GCF number.
So the greatest common factor 61700 and 61720 is 20.

Also check out the Least Common Multiple of 61700 and 61720