What is the Greatest Common Factor of 61876 and 61888?

Greatest common factor (GCF) of 61876 and 61888 is 4.

GCF(61876,61888) = 4

We will now calculate the prime factors of 61876 and 61888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61876 and 61888.

How to find the GCF of 61876 and 61888?

We will first find the prime factorization of 61876 and 61888. After we will calculate the factors of 61876 and 61888 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61888

Prime factors of 61888 are 2, 967. Prime factorization of 61888 in exponential form is:

61888 = 2⁶ × 967¹

Step-3: Factors of 61876

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

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

Step-4: Factors of 61888

List of positive integer factors of 61888 that divides 61876 without a remainder.

1, 2, 4, 8, 16, 32, 64, 967, 1934, 3868, 7736, 15472, 30944

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61876 and 61888. The biggest common factor number is the GCF number.
So the greatest common factor 61876 and 61888 is 4.

Also check out the Least Common Multiple of 61876 and 61888