What is the Greatest Common Factor of 61860 and 61876?

Greatest common factor (GCF) of 61860 and 61876 is 4.

GCF(61860,61876) = 4

We will now calculate the prime factors of 61860 and 61876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61860 and 61876.

How to find the GCF of 61860 and 61876?

We will first find the prime factorization of 61860 and 61876. After we will calculate the factors of 61860 and 61876 and find the biggest common factor number .

Step-1: Prime Factorization of 61860

Prime factors of 61860 are 2, 3, 5, 1031. Prime factorization of 61860 in exponential form is:

61860 = 2² × 3¹ × 5¹ × 1031¹

Step-2: Prime Factorization of 61876

Prime factors of 61876 are 2, 31, 499. Prime factorization of 61876 in exponential form is:

61876 = 2² × 31¹ × 499¹

Step-3: Factors of 61860

List of positive integer factors of 61860 that divides 61860 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1031, 2062, 3093, 4124, 5155, 6186, 10310, 12372, 15465, 20620, 30930

Step-4: Factors of 61876

List of positive integer factors of 61876 that divides 61860 without a remainder.

1, 2, 4, 31, 62, 124, 499, 998, 1996, 15469, 30938

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61860 and 61876. The biggest common factor number is the GCF number.
So the greatest common factor 61860 and 61876 is 4.

Also check out the Least Common Multiple of 61860 and 61876