What is the Greatest Common Factor of 89502 and 89509?

Greatest common factor (GCF) of 89502 and 89509 is 7.

GCF(89502,89509) = 7

We will now calculate the prime factors of 89502 and 89509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89502 and 89509.

How to find the GCF of 89502 and 89509?

We will first find the prime factorization of 89502 and 89509. After we will calculate the factors of 89502 and 89509 and find the biggest common factor number .

Step-1: Prime Factorization of 89502

Prime factors of 89502 are 2, 3, 7, 2131. Prime factorization of 89502 in exponential form is:

89502 = 2¹ × 3¹ × 7¹ × 2131¹

Step-2: Prime Factorization of 89509

Prime factors of 89509 are 7, 19, 673. Prime factorization of 89509 in exponential form is:

89509 = 7¹ × 19¹ × 673¹

Step-3: Factors of 89502

List of positive integer factors of 89502 that divides 89502 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2131, 4262, 6393, 12786, 14917, 29834, 44751

Step-4: Factors of 89509

List of positive integer factors of 89509 that divides 89502 without a remainder.

1, 7, 19, 133, 673, 4711, 12787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89502 and 89509. The biggest common factor number is the GCF number.
So the greatest common factor 89502 and 89509 is 7.

Also check out the Least Common Multiple of 89502 and 89509