What is the Greatest Common Factor of 31394 and 31410?
Greatest common factor (GCF) of 31394 and 31410 is 2.
GCF(31394,31410) = 2
We will now calculate the prime factors of 31394 and 31410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31394 and 31410.
How to find the GCF of 31394 and 31410?
We will first find the prime factorization of 31394 and 31410. After we will calculate the factors of 31394 and 31410 and find the biggest common factor number .
Step-1: Prime Factorization of 31394
Prime factors of 31394 are 2, 11, 1427. Prime factorization of 31394 in exponential form is:
31394 = 21 × 111 × 14271
Step-2: Prime Factorization of 31410
Prime factors of 31410 are 2, 3, 5, 349. Prime factorization of 31410 in exponential form is:
31410 = 21 × 32 × 51 × 3491
Step-3: Factors of 31394
List of positive integer factors of 31394 that divides 31394 without a remainder.
1, 2, 11, 22, 1427, 2854, 15697
Step-4: Factors of 31410
List of positive integer factors of 31410 that divides 31394 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 349, 698, 1047, 1745, 2094, 3141, 3490, 5235, 6282, 10470, 15705
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 31394 and 31410. The biggest common factor number is the GCF number.
So the greatest common factor 31394 and 31410 is 2.
Also check out the Least Common Multiple of 31394 and 31410
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