What is the Greatest Common Factor of 61494 and 61498?

Greatest common factor (GCF) of 61494 and 61498 is 2.

GCF(61494,61498) = 2

We will now calculate the prime factors of 61494 and 61498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61494 and 61498.

How to find the GCF of 61494 and 61498?

We will first find the prime factorization of 61494 and 61498. After we will calculate the factors of 61494 and 61498 and find the biggest common factor number .

Step-1: Prime Factorization of 61494

Prime factors of 61494 are 2, 3, 37, 277. Prime factorization of 61494 in exponential form is:

61494 = 2¹ × 3¹ × 37¹ × 277¹

Step-2: Prime Factorization of 61498

Prime factors of 61498 are 2, 97, 317. Prime factorization of 61498 in exponential form is:

61498 = 2¹ × 97¹ × 317¹

Step-3: Factors of 61494

List of positive integer factors of 61494 that divides 61494 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222, 277, 554, 831, 1662, 10249, 20498, 30747

Step-4: Factors of 61498

List of positive integer factors of 61498 that divides 61494 without a remainder.

1, 2, 97, 194, 317, 634, 30749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61494 and 61498. The biggest common factor number is the GCF number.
So the greatest common factor 61494 and 61498 is 2.

Also check out the Least Common Multiple of 61494 and 61498