What is the Greatest Common Factor of 61924 and 61944?

Greatest common factor (GCF) of 61924 and 61944 is 4.

GCF(61924,61944) = 4

We will now calculate the prime factors of 61924 and 61944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61924 and 61944.

How to find the GCF of 61924 and 61944?

We will first find the prime factorization of 61924 and 61944. After we will calculate the factors of 61924 and 61944 and find the biggest common factor number .

Step-1: Prime Factorization of 61924

Prime factors of 61924 are 2, 113, 137. Prime factorization of 61924 in exponential form is:

61924 = 2² × 113¹ × 137¹

Step-2: 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-3: Factors of 61924

List of positive integer factors of 61924 that divides 61924 without a remainder.

1, 2, 4, 113, 137, 226, 274, 452, 548, 15481, 30962

Step-4: Factors of 61944

List of positive integer factors of 61944 that divides 61924 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61924 and 61944. The biggest common factor number is the GCF number.
So the greatest common factor 61924 and 61944 is 4.

Also check out the Least Common Multiple of 61924 and 61944