What is the Greatest Common Factor of 94960 and 94974?

Greatest common factor (GCF) of 94960 and 94974 is 2.

GCF(94960,94974) = 2

We will now calculate the prime factors of 94960 and 94974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94960 and 94974.

How to find the GCF of 94960 and 94974?

We will first find the prime factorization of 94960 and 94974. After we will calculate the factors of 94960 and 94974 and find the biggest common factor number .

Step-1: Prime Factorization of 94960

Prime factors of 94960 are 2, 5, 1187. Prime factorization of 94960 in exponential form is:

94960 = 2⁴ × 5¹ × 1187¹

Step-2: Prime Factorization of 94974

Prime factors of 94974 are 2, 3, 11, 1439. Prime factorization of 94974 in exponential form is:

94974 = 2¹ × 3¹ × 11¹ × 1439¹

Step-3: Factors of 94960

List of positive integer factors of 94960 that divides 94960 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1187, 2374, 4748, 5935, 9496, 11870, 18992, 23740, 47480

Step-4: Factors of 94974

List of positive integer factors of 94974 that divides 94960 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1439, 2878, 4317, 8634, 15829, 31658, 47487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94960 and 94974. The biggest common factor number is the GCF number.
So the greatest common factor 94960 and 94974 is 2.

Also check out the Least Common Multiple of 94960 and 94974