What is the Greatest Common Factor of 48974 and 48994?

Greatest common factor (GCF) of 48974 and 48994 is 2.

GCF(48974,48994) = 2

We will now calculate the prime factors of 48974 and 48994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48974 and 48994.

How to find the GCF of 48974 and 48994?

We will first find the prime factorization of 48974 and 48994. After we will calculate the factors of 48974 and 48994 and find the biggest common factor number .

Step-1: Prime Factorization of 48974

Prime factors of 48974 are 2, 47, 521. Prime factorization of 48974 in exponential form is:

48974 = 2¹ × 47¹ × 521¹

Step-2: Prime Factorization of 48994

Prime factors of 48994 are 2, 11, 17, 131. Prime factorization of 48994 in exponential form is:

48994 = 2¹ × 11¹ × 17¹ × 131¹

Step-3: Factors of 48974

List of positive integer factors of 48974 that divides 48974 without a remainder.

1, 2, 47, 94, 521, 1042, 24487

Step-4: Factors of 48994

List of positive integer factors of 48994 that divides 48974 without a remainder.

1, 2, 11, 17, 22, 34, 131, 187, 262, 374, 1441, 2227, 2882, 4454, 24497

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48974 and 48994. The biggest common factor number is the GCF number.
So the greatest common factor 48974 and 48994 is 2.

Also check out the Least Common Multiple of 48974 and 48994