What is the Greatest Common Factor of 89914 and 89922?

Greatest common factor (GCF) of 89914 and 89922 is 2.

GCF(89914,89922) = 2

We will now calculate the prime factors of 89914 and 89922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89914 and 89922.

How to find the GCF of 89914 and 89922?

We will first find the prime factorization of 89914 and 89922. After we will calculate the factors of 89914 and 89922 and find the biggest common factor number .

Step-1: Prime Factorization of 89914

Prime factors of 89914 are 2, 11, 61, 67. Prime factorization of 89914 in exponential form is:

89914 = 2¹ × 11¹ × 61¹ × 67¹

Step-2: Prime Factorization of 89922

Prime factors of 89922 are 2, 3, 7, 2141. Prime factorization of 89922 in exponential form is:

89922 = 2¹ × 3¹ × 7¹ × 2141¹

Step-3: Factors of 89914

List of positive integer factors of 89914 that divides 89914 without a remainder.

1, 2, 11, 22, 61, 67, 122, 134, 671, 737, 1342, 1474, 4087, 8174, 44957

Step-4: Factors of 89922

List of positive integer factors of 89922 that divides 89914 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2141, 4282, 6423, 12846, 14987, 29974, 44961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89914 and 89922. The biggest common factor number is the GCF number.
So the greatest common factor 89914 and 89922 is 2.

Also check out the Least Common Multiple of 89914 and 89922