What is the Greatest Common Factor of 89229 and 89236?

Greatest common factor (GCF) of 89229 and 89236 is 7.

GCF(89229,89236) = 7

We will now calculate the prime factors of 89229 and 89236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89229 and 89236.

How to find the GCF of 89229 and 89236?

We will first find the prime factorization of 89229 and 89236. After we will calculate the factors of 89229 and 89236 and find the biggest common factor number .

Step-1: Prime Factorization of 89229

Prime factors of 89229 are 3, 7, 607. Prime factorization of 89229 in exponential form is:

89229 = 3¹ × 7² × 607¹

Step-2: Prime Factorization of 89236

Prime factors of 89236 are 2, 7, 3187. Prime factorization of 89236 in exponential form is:

89236 = 2² × 7¹ × 3187¹

Step-3: Factors of 89229

List of positive integer factors of 89229 that divides 89229 without a remainder.

1, 3, 7, 21, 49, 147, 607, 1821, 4249, 12747, 29743

Step-4: Factors of 89236

List of positive integer factors of 89236 that divides 89229 without a remainder.

1, 2, 4, 7, 14, 28, 3187, 6374, 12748, 22309, 44618

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89229 and 89236. The biggest common factor number is the GCF number.
So the greatest common factor 89229 and 89236 is 7.

Also check out the Least Common Multiple of 89229 and 89236