What is the Greatest Common Factor of 69538 and 69550?

Greatest common factor (GCF) of 69538 and 69550 is 2.

GCF(69538,69550) = 2

We will now calculate the prime factors of 69538 and 69550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69538 and 69550.

How to find the GCF of 69538 and 69550?

We will first find the prime factorization of 69538 and 69550. After we will calculate the factors of 69538 and 69550 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69550

Prime factors of 69550 are 2, 5, 13, 107. Prime factorization of 69550 in exponential form is:

69550 = 2¹ × 5² × 13¹ × 107¹

Step-3: Factors of 69538

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

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

Step-4: Factors of 69550

List of positive integer factors of 69550 that divides 69538 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 107, 130, 214, 325, 535, 650, 1070, 1391, 2675, 2782, 5350, 6955, 13910, 34775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69538 and 69550. The biggest common factor number is the GCF number.
So the greatest common factor 69538 and 69550 is 2.

Also check out the Least Common Multiple of 69538 and 69550