What is the Greatest Common Factor of 2620 and 2639?
Greatest common factor (GCF) of 2620 and 2639 is 1.
GCF(2620,2639) = 1
We will now calculate the prime factors of 2620 and 2639, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2620 and 2639.
How to find the GCF of 2620 and 2639?
We will first find the prime factorization of 2620 and 2639. After we will calculate the factors of 2620 and 2639 and find the biggest common factor number .
Step-1: Prime Factorization of 2620
Prime factors of 2620 are 2, 5, 131. Prime factorization of 2620 in exponential form is:
2620 = 22 × 51 × 1311
Step-2: Prime Factorization of 2639
Prime factors of 2639 are 7, 13, 29. Prime factorization of 2639 in exponential form is:
2639 = 71 × 131 × 291
Step-3: Factors of 2620
List of positive integer factors of 2620 that divides 2620 without a remainder.
1, 2, 4, 5, 10, 20, 131, 262, 524, 655, 1310
Step-4: Factors of 2639
List of positive integer factors of 2639 that divides 2620 without a remainder.
1, 7, 13, 29, 91, 203, 377
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 2620 and 2639. The biggest common factor number is the GCF number.
So the greatest common factor 2620 and 2639 is 1.
Also check out the Least Common Multiple of 2620 and 2639
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Related Greatest Common Factors of 2639
- GCF of 2639 and 2643
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