What is the Greatest Common Factor of 62167 and 62181?

Greatest common factor (GCF) of 62167 and 62181 is 7.

GCF(62167,62181) = 7

We will now calculate the prime factors of 62167 and 62181, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62167 and 62181.

How to find the GCF of 62167 and 62181?

We will first find the prime factorization of 62167 and 62181. After we will calculate the factors of 62167 and 62181 and find the biggest common factor number .

Step-1: Prime Factorization of 62167

Prime factors of 62167 are 7, 83, 107. Prime factorization of 62167 in exponential form is:

62167 = 7¹ × 83¹ × 107¹

Step-2: Prime Factorization of 62181

Prime factors of 62181 are 3, 7, 47. Prime factorization of 62181 in exponential form is:

62181 = 3³ × 7² × 47¹

Step-3: Factors of 62167

List of positive integer factors of 62167 that divides 62167 without a remainder.

1, 7, 83, 107, 581, 749, 8881

Step-4: Factors of 62181

List of positive integer factors of 62181 that divides 62167 without a remainder.

1, 3, 7, 9, 21, 27, 47, 49, 63, 141, 147, 189, 329, 423, 441, 987, 1269, 1323, 2303, 2961, 6909, 8883, 20727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62167 and 62181. The biggest common factor number is the GCF number.
So the greatest common factor 62167 and 62181 is 7.

Also check out the Least Common Multiple of 62167 and 62181