What is the Greatest Common Factor of 61484 and 61502?

Greatest common factor (GCF) of 61484 and 61502 is 2.

GCF(61484,61502) = 2

We will now calculate the prime factors of 61484 and 61502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61484 and 61502.

How to find the GCF of 61484 and 61502?

We will first find the prime factorization of 61484 and 61502. After we will calculate the factors of 61484 and 61502 and find the biggest common factor number .

Step-1: Prime Factorization of 61484

Prime factors of 61484 are 2, 19, 809. Prime factorization of 61484 in exponential form is:

61484 = 2² × 19¹ × 809¹

Step-2: Prime Factorization of 61502

Prime factors of 61502 are 2, 7, 23, 191. Prime factorization of 61502 in exponential form is:

61502 = 2¹ × 7¹ × 23¹ × 191¹

Step-3: Factors of 61484

List of positive integer factors of 61484 that divides 61484 without a remainder.

1, 2, 4, 19, 38, 76, 809, 1618, 3236, 15371, 30742

Step-4: Factors of 61502

List of positive integer factors of 61502 that divides 61484 without a remainder.

1, 2, 7, 14, 23, 46, 161, 191, 322, 382, 1337, 2674, 4393, 8786, 30751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61484 and 61502. The biggest common factor number is the GCF number.
So the greatest common factor 61484 and 61502 is 2.

Also check out the Least Common Multiple of 61484 and 61502