What is the Greatest Common Factor of 69560 and 69580?

Greatest common factor (GCF) of 69560 and 69580 is 20.

GCF(69560,69580) = 20

We will now calculate the prime factors of 69560 and 69580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69560 and 69580.

How to find the GCF of 69560 and 69580?

We will first find the prime factorization of 69560 and 69580. After we will calculate the factors of 69560 and 69580 and find the biggest common factor number .

Step-1: Prime Factorization of 69560

Prime factors of 69560 are 2, 5, 37, 47. Prime factorization of 69560 in exponential form is:

69560 = 2³ × 5¹ × 37¹ × 47¹

Step-2: Prime Factorization of 69580

Prime factors of 69580 are 2, 5, 7, 71. Prime factorization of 69580 in exponential form is:

69580 = 2² × 5¹ × 7² × 71¹

Step-3: Factors of 69560

List of positive integer factors of 69560 that divides 69560 without a remainder.

1, 2, 4, 5, 8, 10, 20, 37, 40, 47, 74, 94, 148, 185, 188, 235, 296, 370, 376, 470, 740, 940, 1480, 1739, 1880, 3478, 6956, 8695, 13912, 17390, 34780

Step-4: Factors of 69580

List of positive integer factors of 69580 that divides 69560 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 71, 98, 140, 142, 196, 245, 284, 355, 490, 497, 710, 980, 994, 1420, 1988, 2485, 3479, 4970, 6958, 9940, 13916, 17395, 34790

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69560 and 69580. The biggest common factor number is the GCF number.
So the greatest common factor 69560 and 69580 is 20.

Also check out the Least Common Multiple of 69560 and 69580