What is the Greatest Common Factor of 69740 and 69752?

Greatest common factor (GCF) of 69740 and 69752 is 4.

GCF(69740,69752) = 4

We will now calculate the prime factors of 69740 and 69752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69740 and 69752.

How to find the GCF of 69740 and 69752?

We will first find the prime factorization of 69740 and 69752. After we will calculate the factors of 69740 and 69752 and find the biggest common factor number .

Step-1: Prime Factorization of 69740

Prime factors of 69740 are 2, 5, 11, 317. Prime factorization of 69740 in exponential form is:

69740 = 2² × 5¹ × 11¹ × 317¹

Step-2: Prime Factorization of 69752

Prime factors of 69752 are 2, 8719. Prime factorization of 69752 in exponential form is:

69752 = 2³ × 8719¹

Step-3: Factors of 69740

List of positive integer factors of 69740 that divides 69740 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 317, 634, 1268, 1585, 3170, 3487, 6340, 6974, 13948, 17435, 34870

Step-4: Factors of 69752

List of positive integer factors of 69752 that divides 69740 without a remainder.

1, 2, 4, 8, 8719, 17438, 34876

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69740 and 69752. The biggest common factor number is the GCF number.
So the greatest common factor 69740 and 69752 is 4.

Also check out the Least Common Multiple of 69740 and 69752