What is the Greatest Common Factor of 61964 and 61971?

Greatest common factor (GCF) of 61964 and 61971 is 7.

GCF(61964,61971) = 7

We will now calculate the prime factors of 61964 and 61971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61964 and 61971.

How to find the GCF of 61964 and 61971?

We will first find the prime factorization of 61964 and 61971. After we will calculate the factors of 61964 and 61971 and find the biggest common factor number .

Step-1: Prime Factorization of 61964

Prime factors of 61964 are 2, 7, 2213. Prime factorization of 61964 in exponential form is:

61964 = 2² × 7¹ × 2213¹

Step-2: Prime Factorization of 61971

Prime factors of 61971 are 3, 7, 13, 227. Prime factorization of 61971 in exponential form is:

61971 = 3¹ × 7¹ × 13¹ × 227¹

Step-3: Factors of 61964

List of positive integer factors of 61964 that divides 61964 without a remainder.

1, 2, 4, 7, 14, 28, 2213, 4426, 8852, 15491, 30982

Step-4: Factors of 61971

List of positive integer factors of 61971 that divides 61964 without a remainder.

1, 3, 7, 13, 21, 39, 91, 227, 273, 681, 1589, 2951, 4767, 8853, 20657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61964 and 61971. The biggest common factor number is the GCF number.
So the greatest common factor 61964 and 61971 is 7.

Also check out the Least Common Multiple of 61964 and 61971