What is the Greatest Common Factor of 69674 and 69685?

Greatest common factor (GCF) of 69674 and 69685 is 11.

GCF(69674,69685) = 11

We will now calculate the prime factors of 69674 and 69685, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69674 and 69685.

How to find the GCF of 69674 and 69685?

We will first find the prime factorization of 69674 and 69685. After we will calculate the factors of 69674 and 69685 and find the biggest common factor number .

Step-1: Prime Factorization of 69674

Prime factors of 69674 are 2, 11, 3167. Prime factorization of 69674 in exponential form is:

69674 = 2¹ × 11¹ × 3167¹

Step-2: Prime Factorization of 69685

Prime factors of 69685 are 5, 7, 11, 181. Prime factorization of 69685 in exponential form is:

69685 = 5¹ × 7¹ × 11¹ × 181¹

Step-3: Factors of 69674

List of positive integer factors of 69674 that divides 69674 without a remainder.

1, 2, 11, 22, 3167, 6334, 34837

Step-4: Factors of 69685

List of positive integer factors of 69685 that divides 69674 without a remainder.

1, 5, 7, 11, 35, 55, 77, 181, 385, 905, 1267, 1991, 6335, 9955, 13937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69674 and 69685. The biggest common factor number is the GCF number.
So the greatest common factor 69674 and 69685 is 11.

Also check out the Least Common Multiple of 69674 and 69685