What is the Greatest Common Factor of 75294 and 75308?

Greatest common factor (GCF) of 75294 and 75308 is 2.

GCF(75294,75308) = 2

We will now calculate the prime factors of 75294 and 75308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75294 and 75308.

How to find the GCF of 75294 and 75308?

We will first find the prime factorization of 75294 and 75308. After we will calculate the factors of 75294 and 75308 and find the biggest common factor number .

Step-1: Prime Factorization of 75294

Prime factors of 75294 are 2, 3, 47, 89. Prime factorization of 75294 in exponential form is:

75294 = 2¹ × 3² × 47¹ × 89¹

Step-2: Prime Factorization of 75308

Prime factors of 75308 are 2, 67, 281. Prime factorization of 75308 in exponential form is:

75308 = 2² × 67¹ × 281¹

Step-3: Factors of 75294

List of positive integer factors of 75294 that divides 75294 without a remainder.

1, 2, 3, 6, 9, 18, 47, 89, 94, 141, 178, 267, 282, 423, 534, 801, 846, 1602, 4183, 8366, 12549, 25098, 37647

Step-4: Factors of 75308

List of positive integer factors of 75308 that divides 75294 without a remainder.

1, 2, 4, 67, 134, 268, 281, 562, 1124, 18827, 37654

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75294 and 75308. The biggest common factor number is the GCF number.
So the greatest common factor 75294 and 75308 is 2.

Also check out the Least Common Multiple of 75294 and 75308