What is the Greatest Common Factor of 75472 and 75489?

Greatest common factor (GCF) of 75472 and 75489 is 1.

GCF(75472,75489) = 1

We will now calculate the prime factors of 75472 and 75489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75472 and 75489.

How to find the GCF of 75472 and 75489?

We will first find the prime factorization of 75472 and 75489. After we will calculate the factors of 75472 and 75489 and find the biggest common factor number .

Step-1: Prime Factorization of 75472

Prime factors of 75472 are 2, 53, 89. Prime factorization of 75472 in exponential form is:

75472 = 2⁴ × 53¹ × 89¹

Step-2: Prime Factorization of 75489

Prime factors of 75489 are 3, 25163. Prime factorization of 75489 in exponential form is:

75489 = 3¹ × 25163¹

Step-3: Factors of 75472

List of positive integer factors of 75472 that divides 75472 without a remainder.

1, 2, 4, 8, 16, 53, 89, 106, 178, 212, 356, 424, 712, 848, 1424, 4717, 9434, 18868, 37736

Step-4: Factors of 75489

List of positive integer factors of 75489 that divides 75472 without a remainder.

1, 3, 25163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75472 and 75489. The biggest common factor number is the GCF number.
So the greatest common factor 75472 and 75489 is 1.

Also check out the Least Common Multiple of 75472 and 75489