What is the Greatest Common Factor of 48994 and 49014?

Greatest common factor (GCF) of 48994 and 49014 is 2.

GCF(48994,49014) = 2

We will now calculate the prime factors of 48994 and 49014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48994 and 49014.

How to find the GCF of 48994 and 49014?

We will first find the prime factorization of 48994 and 49014. After we will calculate the factors of 48994 and 49014 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 49014

Prime factors of 49014 are 2, 3, 7, 389. Prime factorization of 49014 in exponential form is:

49014 = 2¹ × 3² × 7¹ × 389¹

Step-3: Factors of 48994

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

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

Step-4: Factors of 49014

List of positive integer factors of 49014 that divides 48994 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 389, 778, 1167, 2334, 2723, 3501, 5446, 7002, 8169, 16338, 24507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48994 and 49014. The biggest common factor number is the GCF number.
So the greatest common factor 48994 and 49014 is 2.

Also check out the Least Common Multiple of 48994 and 49014