What is the Greatest Common Factor of 89092 and 89102?

Greatest common factor (GCF) of 89092 and 89102 is 2.

GCF(89092,89102) = 2

We will now calculate the prime factors of 89092 and 89102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89092 and 89102.

How to find the GCF of 89092 and 89102?

We will first find the prime factorization of 89092 and 89102. After we will calculate the factors of 89092 and 89102 and find the biggest common factor number .

Step-1: Prime Factorization of 89092

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

89092 = 2² × 22273¹

Step-2: Prime Factorization of 89102

Prime factors of 89102 are 2, 13, 23, 149. Prime factorization of 89102 in exponential form is:

89102 = 2¹ × 13¹ × 23¹ × 149¹

Step-3: Factors of 89092

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

1, 2, 4, 22273, 44546

Step-4: Factors of 89102

List of positive integer factors of 89102 that divides 89092 without a remainder.

1, 2, 13, 23, 26, 46, 149, 298, 299, 598, 1937, 3427, 3874, 6854, 44551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89092 and 89102. The biggest common factor number is the GCF number.
So the greatest common factor 89092 and 89102 is 2.

Also check out the Least Common Multiple of 89092 and 89102