What is the Greatest Common Factor of 75277 and 75294?

Greatest common factor (GCF) of 75277 and 75294 is 1.

GCF(75277,75294) = 1

We will now calculate the prime factors of 75277 and 75294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75277 and 75294.

How to find the GCF of 75277 and 75294?

We will first find the prime factorization of 75277 and 75294. After we will calculate the factors of 75277 and 75294 and find the biggest common factor number .

Step-1: Prime Factorization of 75277

Prime factors of 75277 are 75277. Prime factorization of 75277 in exponential form is:

75277 = 75277¹

Step-2: 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-3: Factors of 75277

List of positive integer factors of 75277 that divides 75277 without a remainder.

Step-4: Factors of 75294

List of positive integer factors of 75294 that divides 75277 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75277 and 75294. The biggest common factor number is the GCF number.
So the greatest common factor 75277 and 75294 is 1.

Also check out the Least Common Multiple of 75277 and 75294