What is the Greatest Common Factor of 69544 and 69560?

Greatest common factor (GCF) of 69544 and 69560 is 8.

GCF(69544,69560) = 8

We will now calculate the prime factors of 69544 and 69560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69544 and 69560.

How to find the GCF of 69544 and 69560?

We will first find the prime factorization of 69544 and 69560. After we will calculate the factors of 69544 and 69560 and find the biggest common factor number .

Step-1: Prime Factorization of 69544

Prime factors of 69544 are 2, 8693. Prime factorization of 69544 in exponential form is:

69544 = 2³ × 8693¹

Step-2: 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-3: Factors of 69544

List of positive integer factors of 69544 that divides 69544 without a remainder.

1, 2, 4, 8, 8693, 17386, 34772

Step-4: Factors of 69560

List of positive integer factors of 69560 that divides 69544 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69544 and 69560. The biggest common factor number is the GCF number.
So the greatest common factor 69544 and 69560 is 8.

Also check out the Least Common Multiple of 69544 and 69560