What is the Greatest Common Factor of 75278 and 75282?

Greatest common factor (GCF) of 75278 and 75282 is 2.

GCF(75278,75282) = 2

We will now calculate the prime factors of 75278 and 75282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75278 and 75282.

How to find the GCF of 75278 and 75282?

We will first find the prime factorization of 75278 and 75282. After we will calculate the factors of 75278 and 75282 and find the biggest common factor number .

Step-1: Prime Factorization of 75278

Prime factors of 75278 are 2, 7, 19, 283. Prime factorization of 75278 in exponential form is:

75278 = 2¹ × 7¹ × 19¹ × 283¹

Step-2: Prime Factorization of 75282

Prime factors of 75282 are 2, 3, 12547. Prime factorization of 75282 in exponential form is:

75282 = 2¹ × 3¹ × 12547¹

Step-3: Factors of 75278

List of positive integer factors of 75278 that divides 75278 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266, 283, 566, 1981, 3962, 5377, 10754, 37639

Step-4: Factors of 75282

List of positive integer factors of 75282 that divides 75278 without a remainder.

1, 2, 3, 6, 12547, 25094, 37641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75278 and 75282. The biggest common factor number is the GCF number.
So the greatest common factor 75278 and 75282 is 2.

Also check out the Least Common Multiple of 75278 and 75282