What is the Greatest Common Factor of 69520 and 69538?

Greatest common factor (GCF) of 69520 and 69538 is 2.

GCF(69520,69538) = 2

We will now calculate the prime factors of 69520 and 69538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69520 and 69538.

How to find the GCF of 69520 and 69538?

We will first find the prime factorization of 69520 and 69538. After we will calculate the factors of 69520 and 69538 and find the biggest common factor number .

Step-1: Prime Factorization of 69520

Prime factors of 69520 are 2, 5, 11, 79. Prime factorization of 69520 in exponential form is:

69520 = 2⁴ × 5¹ × 11¹ × 79¹

Step-2: Prime Factorization of 69538

Prime factors of 69538 are 2, 7, 4967. Prime factorization of 69538 in exponential form is:

69538 = 2¹ × 7¹ × 4967¹

Step-3: Factors of 69520

List of positive integer factors of 69520 that divides 69520 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 79, 80, 88, 110, 158, 176, 220, 316, 395, 440, 632, 790, 869, 880, 1264, 1580, 1738, 3160, 3476, 4345, 6320, 6952, 8690, 13904, 17380, 34760

Step-4: Factors of 69538

List of positive integer factors of 69538 that divides 69520 without a remainder.

1, 2, 7, 14, 4967, 9934, 34769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69520 and 69538. The biggest common factor number is the GCF number.
So the greatest common factor 69520 and 69538 is 2.

Also check out the Least Common Multiple of 69520 and 69538