What is the Greatest Common Factor of 89076 and 89092?

Greatest common factor (GCF) of 89076 and 89092 is 4.

GCF(89076,89092) = 4

We will now calculate the prime factors of 89076 and 89092, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89076 and 89092.

How to find the GCF of 89076 and 89092?

We will first find the prime factorization of 89076 and 89092. After we will calculate the factors of 89076 and 89092 and find the biggest common factor number .

Step-1: Prime Factorization of 89076

Prime factors of 89076 are 2, 3, 13, 571. Prime factorization of 89076 in exponential form is:

89076 = 2² × 3¹ × 13¹ × 571¹

Step-2: Prime Factorization of 89092

Prime factors of 89092 are 2, 22273. Prime factorization of 89092 in exponential form is:

89092 = 2² × 22273¹

Step-3: Factors of 89076

List of positive integer factors of 89076 that divides 89076 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 571, 1142, 1713, 2284, 3426, 6852, 7423, 14846, 22269, 29692, 44538

Step-4: Factors of 89092

List of positive integer factors of 89092 that divides 89076 without a remainder.

1, 2, 4, 22273, 44546

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89076 and 89092. The biggest common factor number is the GCF number.
So the greatest common factor 89076 and 89092 is 4.

Also check out the Least Common Multiple of 89076 and 89092