What is the Greatest Common Factor of 70605 and 70624?

Greatest common factor (GCF) of 70605 and 70624 is 1.

GCF(70605,70624) = 1

We will now calculate the prime factors of 70605 and 70624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70605 and 70624.

How to find the GCF of 70605 and 70624?

We will first find the prime factorization of 70605 and 70624. After we will calculate the factors of 70605 and 70624 and find the biggest common factor number .

Step-1: Prime Factorization of 70605

Prime factors of 70605 are 3, 5, 523. Prime factorization of 70605 in exponential form is:

70605 = 3³ × 5¹ × 523¹

Step-2: Prime Factorization of 70624

Prime factors of 70624 are 2, 2207. Prime factorization of 70624 in exponential form is:

70624 = 2⁵ × 2207¹

Step-3: Factors of 70605

List of positive integer factors of 70605 that divides 70605 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 523, 1569, 2615, 4707, 7845, 14121, 23535

Step-4: Factors of 70624

List of positive integer factors of 70624 that divides 70605 without a remainder.

1, 2, 4, 8, 16, 32, 2207, 4414, 8828, 17656, 35312

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70605 and 70624. The biggest common factor number is the GCF number.
So the greatest common factor 70605 and 70624 is 1.

Also check out the Least Common Multiple of 70605 and 70624