What is the Greatest Common Factor of 74226 and 74235?

Greatest common factor (GCF) of 74226 and 74235 is 3.

GCF(74226,74235) = 3

We will now calculate the prime factors of 74226 and 74235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74226 and 74235.

How to find the GCF of 74226 and 74235?

We will first find the prime factorization of 74226 and 74235. After we will calculate the factors of 74226 and 74235 and find the biggest common factor number .

Step-1: Prime Factorization of 74226

Prime factors of 74226 are 2, 3, 89, 139. Prime factorization of 74226 in exponential form is:

74226 = 2¹ × 3¹ × 89¹ × 139¹

Step-2: Prime Factorization of 74235

Prime factors of 74235 are 3, 5, 7, 101. Prime factorization of 74235 in exponential form is:

74235 = 3¹ × 5¹ × 7² × 101¹

Step-3: Factors of 74226

List of positive integer factors of 74226 that divides 74226 without a remainder.

1, 2, 3, 6, 89, 139, 178, 267, 278, 417, 534, 834, 12371, 24742, 37113

Step-4: Factors of 74235

List of positive integer factors of 74235 that divides 74226 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 101, 105, 147, 245, 303, 505, 707, 735, 1515, 2121, 3535, 4949, 10605, 14847, 24745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74226 and 74235. The biggest common factor number is the GCF number.
So the greatest common factor 74226 and 74235 is 3.

Also check out the Least Common Multiple of 74226 and 74235