What is the Greatest Common Factor of 2622 and 2627?
Greatest common factor (GCF) of 2622 and 2627 is 1.
GCF(2622,2627) = 1
We will now calculate the prime factors of 2622 and 2627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2622 and 2627.
How to find the GCF of 2622 and 2627?
We will first find the prime factorization of 2622 and 2627. After we will calculate the factors of 2622 and 2627 and find the biggest common factor number .
Step-1: Prime Factorization of 2622
Prime factors of 2622 are 2, 3, 19, 23. Prime factorization of 2622 in exponential form is:
2622 = 21 × 31 × 191 × 231
Step-2: Prime Factorization of 2627
Prime factors of 2627 are 37, 71. Prime factorization of 2627 in exponential form is:
2627 = 371 × 711
Step-3: Factors of 2622
List of positive integer factors of 2622 that divides 2622 without a remainder.
1, 2, 3, 6, 19, 23, 38, 46, 57, 69, 114, 138, 437, 874, 1311
Step-4: Factors of 2627
List of positive integer factors of 2627 that divides 2622 without a remainder.
1, 37, 71
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 2622 and 2627. The biggest common factor number is the GCF number.
So the greatest common factor 2622 and 2627 is 1.
Also check out the Least Common Multiple of 2622 and 2627
Related Greatest Common Factors of 2622
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Related Greatest Common Factors of 2627
- GCF of 2627 and 2631
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