What is the Greatest Common Factor of 75054 and 75074?

Greatest common factor (GCF) of 75054 and 75074 is 2.

GCF(75054,75074) = 2

We will now calculate the prime factors of 75054 and 75074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75054 and 75074.

How to find the GCF of 75054 and 75074?

We will first find the prime factorization of 75054 and 75074. After we will calculate the factors of 75054 and 75074 and find the biggest common factor number .

Step-1: Prime Factorization of 75054

Prime factors of 75054 are 2, 3, 7, 1787. Prime factorization of 75054 in exponential form is:

75054 = 2¹ × 3¹ × 7¹ × 1787¹

Step-2: Prime Factorization of 75074

Prime factors of 75074 are 2, 37537. Prime factorization of 75074 in exponential form is:

75074 = 2¹ × 37537¹

Step-3: Factors of 75054

List of positive integer factors of 75054 that divides 75054 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1787, 3574, 5361, 10722, 12509, 25018, 37527

Step-4: Factors of 75074

List of positive integer factors of 75074 that divides 75054 without a remainder.

1, 2, 37537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75054 and 75074. The biggest common factor number is the GCF number.
So the greatest common factor 75054 and 75074 is 2.

Also check out the Least Common Multiple of 75054 and 75074