What is the Greatest Common Factor of 10658 and 10670?

Greatest common factor (GCF) of 10658 and 10670 is 2.

GCF(10658,10670) = 2

We will now calculate the prime factors of 10658 and 10670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10658 and 10670.

How to find the GCF of 10658 and 10670?

We will first find the prime factorization of 10658 and 10670. After we will calculate the factors of 10658 and 10670 and find the biggest common factor number .

Step-1: Prime Factorization of 10658

Prime factors of 10658 are 2, 73. Prime factorization of 10658 in exponential form is:

10658 = 2¹ × 73²

Step-2: Prime Factorization of 10670

Prime factors of 10670 are 2, 5, 11, 97. Prime factorization of 10670 in exponential form is:

10670 = 2¹ × 5¹ × 11¹ × 97¹

Step-3: Factors of 10658

List of positive integer factors of 10658 that divides 10658 without a remainder.

1, 2, 73, 146, 5329

Step-4: Factors of 10670

List of positive integer factors of 10670 that divides 10658 without a remainder.

1, 2, 5, 10, 11, 22, 55, 97, 110, 194, 485, 970, 1067, 2134, 5335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10658 and 10670. The biggest common factor number is the GCF number.
So the greatest common factor 10658 and 10670 is 2.

Also check out the Least Common Multiple of 10658 and 10670