What is the Greatest Common Factor of 2492 and 2510?
Greatest common factor (GCF) of 2492 and 2510 is 2.
GCF(2492,2510) = 2
We will now calculate the prime factors of 2492 and 2510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2492 and 2510.
How to find the GCF of 2492 and 2510?
We will first find the prime factorization of 2492 and 2510. After we will calculate the factors of 2492 and 2510 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 2510
Prime factors of 2510 are 2, 5, 251. Prime factorization of 2510 in exponential form is:
2510 = 21 × 51 × 2511
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 2510
List of positive integer factors of 2510 that divides 2492 without a remainder.
1, 2, 5, 10, 251, 502, 1255
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 2492 and 2510. The biggest common factor number is the GCF number.
So the greatest common factor 2492 and 2510 is 2.
Also check out the Least Common Multiple of 2492 and 2510
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