What is the Greatest Common Factor of 61944 and 61964?

Greatest common factor (GCF) of 61944 and 61964 is 4.

GCF(61944,61964) = 4

We will now calculate the prime factors of 61944 and 61964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61944 and 61964.

How to find the GCF of 61944 and 61964?

We will first find the prime factorization of 61944 and 61964. After we will calculate the factors of 61944 and 61964 and find the biggest common factor number .

Step-1: Prime Factorization of 61944

Prime factors of 61944 are 2, 3, 29, 89. Prime factorization of 61944 in exponential form is:

61944 = 2³ × 3¹ × 29¹ × 89¹

Step-2: 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-3: Factors of 61944

List of positive integer factors of 61944 that divides 61944 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 89, 116, 174, 178, 232, 267, 348, 356, 534, 696, 712, 1068, 2136, 2581, 5162, 7743, 10324, 15486, 20648, 30972

Step-4: Factors of 61964

List of positive integer factors of 61964 that divides 61944 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61944 and 61964. The biggest common factor number is the GCF number.
So the greatest common factor 61944 and 61964 is 4.

Also check out the Least Common Multiple of 61944 and 61964