What is the Greatest Common Factor of 2492 and 2512?
Greatest common factor (GCF) of 2492 and 2512 is 4.
GCF(2492,2512) = 4
We will now calculate the prime factors of 2492 and 2512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2492 and 2512.
How to find the GCF of 2492 and 2512?
We will first find the prime factorization of 2492 and 2512. After we will calculate the factors of 2492 and 2512 and find the biggest common factor number .
Step-1: Prime Factorization of 2492
Prime factors of 2492 are 2, 7, 89. Prime factorization of 2492 in exponential form is:
2492 = 22 × 71 × 891
Step-2: Prime Factorization of 2512
Prime factors of 2512 are 2, 157. Prime factorization of 2512 in exponential form is:
2512 = 24 × 1571
Step-3: Factors of 2492
List of positive integer factors of 2492 that divides 2492 without a remainder.
1, 2, 4, 7, 14, 28, 89, 178, 356, 623, 1246
Step-4: Factors of 2512
List of positive integer factors of 2512 that divides 2492 without a remainder.
1, 2, 4, 8, 16, 157, 314, 628, 1256
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 2492 and 2512. The biggest common factor number is the GCF number.
So the greatest common factor 2492 and 2512 is 4.
Also check out the Least Common Multiple of 2492 and 2512
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