What is the Greatest Common Factor of 27910 and 27930?
Greatest common factor (GCF) of 27910 and 27930 is 10.
GCF(27910,27930) = 10
We will now calculate the prime factors of 27910 and 27930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27910 and 27930.
How to find the GCF of 27910 and 27930?
We will first find the prime factorization of 27910 and 27930. After we will calculate the factors of 27910 and 27930 and find the biggest common factor number .
Step-1: Prime Factorization of 27910
Prime factors of 27910 are 2, 5, 2791. Prime factorization of 27910 in exponential form is:
27910 = 21 × 51 × 27911
Step-2: Prime Factorization of 27930
Prime factors of 27930 are 2, 3, 5, 7, 19. Prime factorization of 27930 in exponential form is:
27930 = 21 × 31 × 51 × 72 × 191
Step-3: Factors of 27910
List of positive integer factors of 27910 that divides 27910 without a remainder.
1, 2, 5, 10, 2791, 5582, 13955
Step-4: Factors of 27930
List of positive integer factors of 27930 that divides 27910 without a remainder.
1, 2, 3, 5, 6, 7, 10, 14, 15, 19, 21, 30, 35, 38, 42, 49, 57, 70, 95, 98, 105, 114, 133, 147, 190, 210, 245, 266, 285, 294, 399, 490, 570, 665, 735, 798, 931, 1330, 1470, 1862, 1995, 2793, 3990, 4655, 5586, 9310, 13965
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 27910 and 27930. The biggest common factor number is the GCF number.
So the greatest common factor 27910 and 27930 is 10.
Also check out the Least Common Multiple of 27910 and 27930
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