What is the Greatest Common Factor of 75544 and 75560?

Greatest common factor (GCF) of 75544 and 75560 is 8.

GCF(75544,75560) = 8

We will now calculate the prime factors of 75544 and 75560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75544 and 75560.

How to find the GCF of 75544 and 75560?

We will first find the prime factorization of 75544 and 75560. After we will calculate the factors of 75544 and 75560 and find the biggest common factor number .

Step-1: Prime Factorization of 75544

Prime factors of 75544 are 2, 7, 19, 71. Prime factorization of 75544 in exponential form is:

75544 = 2³ × 7¹ × 19¹ × 71¹

Step-2: Prime Factorization of 75560

Prime factors of 75560 are 2, 5, 1889. Prime factorization of 75560 in exponential form is:

75560 = 2³ × 5¹ × 1889¹

Step-3: Factors of 75544

List of positive integer factors of 75544 that divides 75544 without a remainder.

1, 2, 4, 7, 8, 14, 19, 28, 38, 56, 71, 76, 133, 142, 152, 266, 284, 497, 532, 568, 994, 1064, 1349, 1988, 2698, 3976, 5396, 9443, 10792, 18886, 37772

Step-4: Factors of 75560

List of positive integer factors of 75560 that divides 75544 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1889, 3778, 7556, 9445, 15112, 18890, 37780

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75544 and 75560. The biggest common factor number is the GCF number.
So the greatest common factor 75544 and 75560 is 8.

Also check out the Least Common Multiple of 75544 and 75560