What is the Greatest Common Factor of 70610 and 70625?

Greatest common factor (GCF) of 70610 and 70625 is 5.

GCF(70610,70625) = 5

We will now calculate the prime factors of 70610 and 70625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70610 and 70625.

How to find the GCF of 70610 and 70625?

We will first find the prime factorization of 70610 and 70625. After we will calculate the factors of 70610 and 70625 and find the biggest common factor number .

Step-1: Prime Factorization of 70610

Prime factors of 70610 are 2, 5, 23, 307. Prime factorization of 70610 in exponential form is:

70610 = 2¹ × 5¹ × 23¹ × 307¹

Step-2: Prime Factorization of 70625

Prime factors of 70625 are 5, 113. Prime factorization of 70625 in exponential form is:

70625 = 5⁴ × 113¹

Step-3: Factors of 70610

List of positive integer factors of 70610 that divides 70610 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230, 307, 614, 1535, 3070, 7061, 14122, 35305

Step-4: Factors of 70625

List of positive integer factors of 70625 that divides 70610 without a remainder.

1, 5, 25, 113, 125, 565, 625, 2825, 14125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70610 and 70625. The biggest common factor number is the GCF number.
So the greatest common factor 70610 and 70625 is 5.

Also check out the Least Common Multiple of 70610 and 70625