What is the Greatest Common Factor of 62237 and 62251?

Greatest common factor (GCF) of 62237 and 62251 is 7.

GCF(62237,62251) = 7

We will now calculate the prime factors of 62237 and 62251, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62237 and 62251.

How to find the GCF of 62237 and 62251?

We will first find the prime factorization of 62237 and 62251. After we will calculate the factors of 62237 and 62251 and find the biggest common factor number .

Step-1: Prime Factorization of 62237

Prime factors of 62237 are 7, 17, 523. Prime factorization of 62237 in exponential form is:

62237 = 7¹ × 17¹ × 523¹

Step-2: Prime Factorization of 62251

Prime factors of 62251 are 7, 8893. Prime factorization of 62251 in exponential form is:

62251 = 7¹ × 8893¹

Step-3: Factors of 62237

List of positive integer factors of 62237 that divides 62237 without a remainder.

1, 7, 17, 119, 523, 3661, 8891

Step-4: Factors of 62251

List of positive integer factors of 62251 that divides 62237 without a remainder.

1, 7, 8893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62237 and 62251. The biggest common factor number is the GCF number.
So the greatest common factor 62237 and 62251 is 7.

Also check out the Least Common Multiple of 62237 and 62251