What is the Greatest Common Factor of 70605 and 70620?

Greatest common factor (GCF) of 70605 and 70620 is 15.

GCF(70605,70620) = 15

We will now calculate the prime factors of 70605 and 70620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70605 and 70620.

How to find the GCF of 70605 and 70620?

We will first find the prime factorization of 70605 and 70620. After we will calculate the factors of 70605 and 70620 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 70620

Prime factors of 70620 are 2, 3, 5, 11, 107. Prime factorization of 70620 in exponential form is:

70620 = 2² × 3¹ × 5¹ × 11¹ × 107¹

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 70620

List of positive integer factors of 70620 that divides 70605 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 107, 110, 132, 165, 214, 220, 321, 330, 428, 535, 642, 660, 1070, 1177, 1284, 1605, 2140, 2354, 3210, 3531, 4708, 5885, 6420, 7062, 11770, 14124, 17655, 23540, 35310

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70605 and 70620. The biggest common factor number is the GCF number.
So the greatest common factor 70605 and 70620 is 15.

Also check out the Least Common Multiple of 70605 and 70620