What is the Greatest Common Factor of 94963 and 94974?

Greatest common factor (GCF) of 94963 and 94974 is 11.

GCF(94963,94974) = 11

We will now calculate the prime factors of 94963 and 94974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94963 and 94974.

How to find the GCF of 94963 and 94974?

We will first find the prime factorization of 94963 and 94974. After we will calculate the factors of 94963 and 94974 and find the biggest common factor number .

Step-1: Prime Factorization of 94963

Prime factors of 94963 are 11, 89, 97. Prime factorization of 94963 in exponential form is:

94963 = 11¹ × 89¹ × 97¹

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 94963

List of positive integer factors of 94963 that divides 94963 without a remainder.

1, 11, 89, 97, 979, 1067, 8633

Step-4: Factors of 94974

List of positive integer factors of 94974 that divides 94963 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 94963 and 94974. The biggest common factor number is the GCF number.
So the greatest common factor 94963 and 94974 is 11.

Also check out the Least Common Multiple of 94963 and 94974