What is the Greatest Common Factor of 75502 and 75516?

Greatest common factor (GCF) of 75502 and 75516 is 14.

GCF(75502,75516) = 14

We will now calculate the prime factors of 75502 and 75516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75502 and 75516.

How to find the GCF of 75502 and 75516?

We will first find the prime factorization of 75502 and 75516. After we will calculate the factors of 75502 and 75516 and find the biggest common factor number .

Step-1: Prime Factorization of 75502

Prime factors of 75502 are 2, 7, 5393. Prime factorization of 75502 in exponential form is:

75502 = 2¹ × 7¹ × 5393¹

Step-2: Prime Factorization of 75516

Prime factors of 75516 are 2, 3, 7, 29, 31. Prime factorization of 75516 in exponential form is:

75516 = 2² × 3¹ × 7¹ × 29¹ × 31¹

Step-3: Factors of 75502

List of positive integer factors of 75502 that divides 75502 without a remainder.

1, 2, 7, 14, 5393, 10786, 37751

Step-4: Factors of 75516

List of positive integer factors of 75516 that divides 75502 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 29, 31, 42, 58, 62, 84, 87, 93, 116, 124, 174, 186, 203, 217, 348, 372, 406, 434, 609, 651, 812, 868, 899, 1218, 1302, 1798, 2436, 2604, 2697, 3596, 5394, 6293, 10788, 12586, 18879, 25172, 37758

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75502 and 75516. The biggest common factor number is the GCF number.
So the greatest common factor 75502 and 75516 is 14.

Also check out the Least Common Multiple of 75502 and 75516