What is the Greatest Common Factor of 74221 and 74235?

Greatest common factor (GCF) of 74221 and 74235 is 7.

GCF(74221,74235) = 7

We will now calculate the prime factors of 74221 and 74235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74221 and 74235.

How to find the GCF of 74221 and 74235?

We will first find the prime factorization of 74221 and 74235. After we will calculate the factors of 74221 and 74235 and find the biggest common factor number .

Step-1: Prime Factorization of 74221

Prime factors of 74221 are 7, 23, 461. Prime factorization of 74221 in exponential form is:

74221 = 7¹ × 23¹ × 461¹

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 74221

List of positive integer factors of 74221 that divides 74221 without a remainder.

1, 7, 23, 161, 461, 3227, 10603

Step-4: Factors of 74235

List of positive integer factors of 74235 that divides 74221 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 74221 and 74235. The biggest common factor number is the GCF number.
So the greatest common factor 74221 and 74235 is 7.

Also check out the Least Common Multiple of 74221 and 74235