What is the Greatest Common Factor of 630 and 639?
Greatest common factor (GCF) of 630 and 639 is 9.
GCF(630,639) = 9
We will now calculate the prime factors of 630 and 639, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 630 and 639.
How to find the GCF of 630 and 639?
We will first find the prime factorization of 630 and 639. After we will calculate the factors of 630 and 639 and find the biggest common factor number .
Step-1: Prime Factorization of 630
Prime factors of 630 are 2, 3, 5, 7. Prime factorization of 630 in exponential form is:
630 = 21 × 32 × 51 × 71
Step-2: Prime Factorization of 639
Prime factors of 639 are 3, 71. Prime factorization of 639 in exponential form is:
639 = 32 × 711
Step-3: Factors of 630
List of positive integer factors of 630 that divides 630 without a remainder.
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315
Step-4: Factors of 639
List of positive integer factors of 639 that divides 630 without a remainder.
1, 3, 9, 71, 213
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 630 and 639. The biggest common factor number is the GCF number.
So the greatest common factor 630 and 639 is 9.
Also check out the Least Common Multiple of 630 and 639
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