What is the Greatest Common Factor of 42653 and 42670?

Greatest common factor (GCF) of 42653 and 42670 is 17.

GCF(42653,42670) = 17

We will now calculate the prime factors of 42653 and 42670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42653 and 42670.

How to find the GCF of 42653 and 42670?

We will first find the prime factorization of 42653 and 42670. After we will calculate the factors of 42653 and 42670 and find the biggest common factor number .

Step-1: Prime Factorization of 42653

Prime factors of 42653 are 13, 17, 193. Prime factorization of 42653 in exponential form is:

42653 = 13¹ × 17¹ × 193¹

Step-2: Prime Factorization of 42670

Prime factors of 42670 are 2, 5, 17, 251. Prime factorization of 42670 in exponential form is:

42670 = 2¹ × 5¹ × 17¹ × 251¹

Step-3: Factors of 42653

List of positive integer factors of 42653 that divides 42653 without a remainder.

1, 13, 17, 193, 221, 2509, 3281

Step-4: Factors of 42670

List of positive integer factors of 42670 that divides 42653 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 251, 502, 1255, 2510, 4267, 8534, 21335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42653 and 42670. The biggest common factor number is the GCF number.
So the greatest common factor 42653 and 42670 is 17.

Also check out the Least Common Multiple of 42653 and 42670