What is the Greatest Common Factor of 69751 and 69762?

Greatest common factor (GCF) of 69751 and 69762 is 11.

GCF(69751,69762) = 11

We will now calculate the prime factors of 69751 and 69762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69751 and 69762.

How to find the GCF of 69751 and 69762?

We will first find the prime factorization of 69751 and 69762. After we will calculate the factors of 69751 and 69762 and find the biggest common factor number .

Step-1: Prime Factorization of 69751

Prime factors of 69751 are 11, 17, 373. Prime factorization of 69751 in exponential form is:

69751 = 11¹ × 17¹ × 373¹

Step-2: Prime Factorization of 69762

Prime factors of 69762 are 2, 3, 7, 11, 151. Prime factorization of 69762 in exponential form is:

69762 = 2¹ × 3¹ × 7¹ × 11¹ × 151¹

Step-3: Factors of 69751

List of positive integer factors of 69751 that divides 69751 without a remainder.

1, 11, 17, 187, 373, 4103, 6341

Step-4: Factors of 69762

List of positive integer factors of 69762 that divides 69751 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 151, 154, 231, 302, 453, 462, 906, 1057, 1661, 2114, 3171, 3322, 4983, 6342, 9966, 11627, 23254, 34881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69751 and 69762. The biggest common factor number is the GCF number.
So the greatest common factor 69751 and 69762 is 11.

Also check out the Least Common Multiple of 69751 and 69762